2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Conic Sections

JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    What is the slope of the tangent line drawn to the hyperbola \[xy=a\,(a\ne 0)\] at the point (a, 1) [AMU 2000]

    A)            1/a 

    B)            ?1/a

    C)            a     

    D)            ? a

    Correct Answer: B

    Solution :

               Given equation of hyperbola \[xy=a\] Slope of tangent at point \[({{x}_{1}}\,{{y}_{1}})\] is \[m={{\left( \frac{dy}{dx} \right)}_{({{x}_{1}},\,{{y}_{1}})}}\], \[\therefore \,\frac{xdy}{dx}+y=0\] Þ \[\frac{dy}{dx}=\frac{-y}{x}\] At point\[(a,\,1);\] \[m={{\left( \frac{dy}{dx} \right)}_{(a,\,1)}}=-\frac{1}{a}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner